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Surface Area of Prisms & Cylinders

This resource covers the calculations of lateral and total surface areas for prisms and cylinders. For prisms, the lateral surface area is calculated using S = Ph, where P is the perimeter of the base, and the total surface area is S = Ph + 2B, with B being the area of the base. For cylinders, the lateral surface area is given by S = 2rh, and the total surface area is S = 2rh + 2πr². Additionally, we explore the impact of changing dimensions, such as tripling edge lengths on surface area. Homework problems are provided for practice.

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Surface Area of Prisms & Cylinders

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  1. Surface Area of Prisms & Cylinders

  2. Prisms

  3. Prisms • Lateral Surface Area : S = Ph • P represents the perimeter of the base • Total Surface Area : S = Ph + 2B • P represents the perimeter of the base and B represents the area of the base

  4. Example

  5. Cylinders

  6. Cylinders • Lateral Surface Area : S = 2rh • Total Surface Area : S = 2rh + 2πr2

  7. Example

  8. Example

  9. Example • Changing Dimensions • The edge length is tripled. Describe the effect of the surface area.

  10. Homework • Pg. 684 #2-12 even, 20-24 even • Pre-AP: pg. 684 #2-12 even, 20-24 even, 34, 42

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